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Reflection and transmission of plane waves between two different fluid saturated porous half spaces

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Języki publikacji
EN
Abstrakty
EN
The present study is concerned with the reflection and transmission of plane waves between two different fluid saturated porous half spaces when longitudinal and transversal waves impinge obliquely at the interface. Amplitude ratios of various reflected and transmitted waves are obtained .The variations of amplitude ratios with angle of incidence are depicted graphically. A particular case of reflection at the free surface in fluid saturated porous half spaces has been deduced and discussed. A special case of interest has also been deduced from the present investigation.
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Strony
227--234
Opis fizyczny
Bibliogr. 21 poz., rys., tab.
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autor
autor
autor
Bibliografia
  • [1] K. Von Terzaghi, “Die Berechnug der Durchlassigkeit des Tones aus dem Verlauf der hydromechanischen Spannungserscheinungen”, Math. – Naturwiss. 132, 125–138 (1923).
  • [2] K. Von Terzaghi, Erdbaumechanik auf Bodenphysikalischer Grundlage, Franz Deuticke, Wien, 1925.
  • [3] M.A. Biot, “General theory of three dimensional consolidation” J. Appl. Phys. 12 (2), 155–144 (1941).
  • [4] M.A. Biot, “Theory of propagation of elastic waves in a fluidsaturated porous solid – 1. low frequency range”, J. Acoust. Soc. Am. A 28, 168–178 (1956).
  • [5] M.A. Biot, “Theory of propagation of elastic waves in a fluidsaturated porous solid - 2. higher frequency range”, J. Acoust. Soc. Am. B 28, 179–191 (1956).
  • [6] P. Fillunger, Der Auftrieb in Talsperren. Osterr. Wochenschrift fur den offent!. Baudienst, Franz Deuticke, Wien, 1913.
  • [7] R.M. Bowen, “Incompressible porous media models by use of the theory of mixtures”, J. Int. J. Engg. Sci. 18, 1129–1148 (1980).
  • [8] R. de Boer and W. Ehlers, “The development of the concept of effective stress”, Acta Mechanica A 83, 77–92 (1990).
  • [9] R. de Boer and W. Ehlers, “Uplift, friction and capillarity–three fundamental effects for liquid-saturated porous solids”, Int. 1. Solid Structures B 26, 43–57 (1990).
  • [10] R. de Boer, “One dimensional transient wave propagation in fluid saturated incompressible porous media”, Arch. App. Mech. 63, 59–72 (1993).
  • [11] R. Kumar and B.S. Hundal, “A study of spherical and cylindrical wave propagation in a non–homogenous fluid saturated incompressible porous medium by the method of characteristics”, Currents Trends in Industrial and Applied Mathematics 1, 181–194 (2002).
  • [12] R. Kumar and B.S. Hundal, “Wave propagation in a fluid saturated incompressible porous medium”, Indian J. Pure And Applied Math. 4, 51–65 (2003).
  • [13] R. Kumar and B.S. Hundal, “One dimensional wave propagation in a non homogenous fluid saturated incompressible porous medium”, Bull. Allahabad Math Soc. 18, 1–13 (2003).
  • [14] R. Kumar and B.S. Hundal, “Effect of non homogeneity on one – dimensional wave propagation in a fluid saturated incompressible porous medium”, Bull .Cal. Math Soc. 96 (3), 179–188 (2004).
  • [15] R. Kumar and B.S. Hundal, “Symmetric wave propagation in a fluid saturated incompressible porous medium”, J. Sound and Vibration 96 (3), 179–188 (2004).
  • [16] H. Deresiewicz, “Reflection of plane waves at free plane boundary”, Bull. Seismol. Soc. Am. 50, 599–607 (1960).
  • [17] P. Malla Reddy and M. Tajuddin, “Exact analysis of plainstrain vibrations of thick-walled hollow poroelastic cylinders”, Int. J. Solid Struct. 37, 3439–3456 (2000).
  • [18] R. Kumar and S. Deswal , “Wave propagation in micro-polar liquid-saturated porous solid”, Indian J. Pure Appl. Math. 31 (10), 1317–1337 (2000).
  • [19] S.K. Tomar and J. Singh, “Transmission of longitudinal waves through a plane interface between two dissimilar porous elastic solid half spaces”, Appl. Mathematics and Computation 169, 671–688 (2005).
  • [20] S.K. Tomar and A. Arora, “Reflection and transmission of elastic waves at an elastic/porous solid saturated by two immiscible fluids”, Int. J. Solid and Structures 43, 1991–2013 (2006).
  • [21] M. Tajuddin and S.J. Hussaini, “Reflection of plane waves at boundaries of a liquid filled poroelastic half-space”, J. Applied Geophysics 58, 59–86 (2006).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0048-0058
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